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This paper applies differential transform - Pade technique for treating non-linear singular boundary value problems arising in various physical problems of science and engineering. Comparisons are made between the results of the proposed method, and the exact solutions. The results show that the proposed method is an attractive method for solving non-linear singular boundary value problems. [ABSTRACT FROM AUTHOR]

Abstract: This paper applies He’s variational iteration method for solving nonlinear singular boundary value problems. The solution process is illustrated and various physically relevant results are obtained. Comparison of the obtained results with exact solutions shows that the method used is an effective and highly promising method for treating various classes of both linear and nonlinear singular boundary value problems. [Copyright &y& Elsevier]

Abstract: In this paper, He’s variational iteration method is applied to solve twelfth-order boundary-value problems. The numerical results obtained with minimum amount of computation are compared with the exact solutions to show the efficiency of the method. The results show that the variational iteration method is of high accuracy, more convenient and efficient for solving high-order boundary-value problems. [Copyright &y& Elsevier]

Abstract: In this Letter, we implemented relatively new, exact series method of solution known as the differential transform method for solving singular two-point boundary value problems. Several illustrative examples are given to demonstrate the effectiveness of the present method. [Copyright &y& Elsevier]